Modes of symmetric composite defects in two-dimensional photonic crystals

Dossou, K; Poulton, C; Botten, L; Mahmoodian, S; McPhedran, R; De Sterke, C

Modes of symmetric composite defects in two-dimensional photonic crystals

Dossou, K Poulton, C Botten, L Mahmoodian, S McPhedran, R De Sterke, C

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Publisher:: American Physical Society
Publication Type:: Journal Article
Citation:: Dossou Kokou et al. 2009, 'Modes of symmetric composite defects in two-dimensional photonic crystals', American Physical Society, vol. 80, no. 1, pp. 013826-1-013826-14.
Issue Date:: 2009

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Field	Value	Language
dc.contributor.author	Dossou, K	en_US
dc.contributor.author	Poulton, C	en_US
dc.contributor.author	Botten, L	en_US
dc.contributor.author	Mahmoodian, S	en_US
dc.contributor.author	McPhedran, R	en_US
dc.contributor.author	De Sterke, C	en_US
dc.date.accessioned	2010-05-28T09:42:37Z
dc.date.available	2010-05-28T09:42:37Z
dc.date.issued	2009	en_US
dc.identifier	2008005099	en_US
dc.identifier.citation	Dossou Kokou et al. 2009, 'Modes of symmetric composite defects in two-dimensional photonic crystals', American Physical Society, vol. 80, no. 1, pp. 013826-1-013826-14.	en_US
dc.identifier.issn	1050-2947	en_US
dc.identifier.other	C1	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8340
dc.description.abstract	We consider the modal fields and resonance frequencies of composite defects in two-dimensional photonic crystals (PCs). Using an asymptotic method based on Green's functions, we show that the coupling matrices for the composite defect can be represented as circulant or block-circulant matrices. Using the properties of these matrices, specifically that their eigenvectors are independent of the values of the matrix elements, we obtain modal properties such as dispersion relations, modal cutoff, degeneracy, and symmetry of the mode fields. Using our formulation, we investigate defects arranged on the vertices of regular polygons as well as PC ring resonators with defects arranged on the edges of polygons. Finally, we discuss the impact of band-edge degeneracies on composite-defect modes.	en_US
dc.publisher	American Physical Society	en_US
dc.relation.ispartof	Physical Review A	en_US
dc.relation.ispartof	Verified OK	en_US
dc.relation.hasversion	Accepted manuscript version	en_US
dc.relation.isbasedon	http://dx.doi.org/10.1103/PhysRevA.80.013826	en_US
dc.rights	Dossou, K & Poulton, C & Botten, L & Mahmoodian, S & De Sterke, C & McPhedran, R, Dossou Kokou et al. 2009, 'Modes of symmetric composite defects in two-dimensional photonic crystals', American Physical Society, vol. 80, no. 1, pp. 013826-1-013826-14. http://dx.doi.org/10.1103/PhysRevA.80.013826 2009. Copyright 2009 by the American Physical Society.	en_US
dc.subject	crystal defects, eigenvalues and eigenfunctions, Green's function methods, matrix algebra, optical materials, optical vortices, photonic crystals	en_US
dc.subject.classification	Optical Physics	en_US
dc.title	Modes of symmetric composite defects in two-dimensional photonic crystals	en_US
dc.type	Journal article
utslib.citation.volume	80	en_US
utslib.citation.number	1	en_US
utslib.location	Australia	en_US
utslib.citation.startpage	013826-1	en_US
utslib.citation.endpage	013826-14	en_US
utslib.identifier.org	SCI.Faculty of Science	en_US
utslib.for	020500	en_US
utslib.percentage	50	en_US
utslib.copyright.status	open_access

Abstract:

We consider the modal fields and resonance frequencies of composite defects in two-dimensional photonic crystals (PCs). Using an asymptotic method based on Green's functions, we show that the coupling matrices for the composite defect can be represented as circulant or block-circulant matrices. Using the properties of these matrices, specifically that their eigenvectors are independent of the values of the matrix elements, we obtain modal properties such as dispersion relations, modal cutoff, degeneracy, and symmetry of the mode fields. Using our formulation, we investigate defects arranged on the vertices of regular polygons as well as PC ring resonators with defects arranged on the edges of polygons. Finally, we discuss the impact of band-edge degeneracies on composite-defect modes.

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http://hdl.handle.net/10453/8340